White Gaussian Chaos

White Gaussian Chaos

A discrete-time white Gaussian noise (WGN) is a random process with impulsive autocorrelation function. Also, the random variables obtained by sampling the process at any time instants are jointly Gaussian. WGN is widely used to model noise in engineering and physics. In this letter, we propose a wa...

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Veröffentlicht in:IEEE communications letters 2017-08, Vol.21 (8), p.1719-1722
Hauptverfasser: Eisencraft, Marcio, Monteiro, Luiz H. A., Soriano, Diogo C.
Format: Artikel
Sprache:eng
Schlagworte:
Autocorrelation
Chaos and global nonlinear dynamics
Chaotic communication
Computer simulation
Correlation
Correlation analysis
discrete-time systems
Entropy
Extraterrestrial measurements
Gaussian noise
Gaussian process
Mathematical models
Orbits
random processes
Random variables
time series analysis
Transformations (mathematics)
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Beschreibung
Zusammenfassung:A discrete-time white Gaussian noise (WGN) is a random process with impulsive autocorrelation function. Also, the random variables obtained by sampling the process at any time instants are jointly Gaussian. WGN is widely used to model noise in engineering and physics. In this letter, we propose a way to generate chaotic signals that behave like WGN, due to the features of its autocorrelation function and its invariant density. From the tent map and by using as conjugacy map transformations commonly employed to random variables, we obtain a white Gaussian chaos (WGC) map. Numerical simulations are shown to illustrate the technique. WGC can be an interesting choice for chaos generator in chaos-based communication systems.
ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2017.2700267